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The Taylor–Browder Spectrum on Prime C*-Algebras

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Abstract

We provide a formula for the Taylor–Browder spectrum of a pair (L a , R b ) of left and right multiplication operators acting on a prime C*-algebra with non-zero socle. We also compute ascent and descent for multiplication operators on a prime ring, characterise Browder elements in a prime C*-algebra and discuss upper semicontinuity for the Browder spectrum.

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  1. School of Mathematics, Trinity College, Dublin 2, Ireland

    Derek Kitson

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  1. Derek Kitson
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Correspondence to Derek Kitson.

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Kitson, D. The Taylor–Browder Spectrum on Prime C*-Algebras. Integr. Equ. Oper. Theory 72, 403–418 (2012). https://doi.org/10.1007/s00020-012-1943-2

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  • DOI: https://doi.org/10.1007/s00020-012-1943-2

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